Exploring Arithmetic Sequences

What is a sequence?

• A random collection of numbers

• A single number

• A set of ordered numbers

• A set of unordered numbers

Which of the following is NOT a type of sequence mentioned?

• Arithmetic

• Harmonic

• Geometric

• Exponential

What is the common difference in an arithmetic sequence?

• The difference between consecutive terms

• The sum of all terms

• The product of all terms

• The difference between the first and last term

In the formula for an arithmetic sequence, what does 'a sub 1' represent?

• The nth term

• The common difference

• The first term

• The last term

Given the sequence 7, 10, 13, what is the common difference?

• 3

• 2

• 4

• 5

Using the formula, what is the 12th term of the sequence starting with 7 and having a common difference of 3?

• 44

• 47

• 40

• 37

In the second example, what is the common difference?

• -3

• -4

• -5

• -2

What is the 5th term of the sequence starting with 50 and having a common difference of -4?

• 42

• 38

• 34

• 46

In the theater seating example, what is the common difference between the number of chairs in consecutive rows?

• 2

• 5

• 4

• 3

Using the formula, how many chairs are in the 18th row if the first row has 8 chairs and the common difference is 4?

• 72

• 80

• 76

• 68